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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 52800.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.t1 | 52800bz1 | \([0, -1, 0, -208, -1238]\) | \(-25000000/3993\) | \(-159720000\) | \([]\) | \(18432\) | \(0.30215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800.t do not have complex multiplication.Modular form 52800.2.a.t
sage: E.q_eigenform(10)